document.write( "Question 1199298: A first number plus twice a second number is 13. Twice the first number plus the second totals 32. Find the numbers \n" ); document.write( "

Algebra.Com's Answer #833107 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "A first number plus twice a second number is 13.
\n" ); document.write( "Twice the first number plus the second totals 32.
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document.write( "    x + 2y = 13     (1)\r\n" );
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document.write( "   2x +  y = 32     (2)\r\n" );
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document.write( "From equation (1),  express x = 13-2y  and substitute it into equation (2).  You will get\r\n" );
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document.write( "    2*(13-2y) + y = 32.\r\n" );
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document.write( "Simplify and find y\r\n" );
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document.write( "    26 - 4y + y = 32\r\n" );
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document.write( "    26 - 32 = 4y- y\r\n" );
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document.write( "       -6   =   3y\r\n" );
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document.write( "        y   =   -6/3 = -2.\r\n" );
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document.write( "Then x = 13 - 2y = 13 - 2*(-2) = 13 + 4= 17.\r\n" );
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document.write( "ANSWER.  1st number is 17.  2nd number is -2.\r\n" );
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